2732146560 has 768 divisors, whose sum is σ = 11548293120. Its totient is φ = 586137600.

The previous prime is 2732146511. The next prime is 2732146589. The reversal of 2732146560 is 656412372.

2732146560 is a `hidden beast` number, since 2 + 73 + 21 + 4 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25534027 + ... + 25534133.

It is an arithmetic number, because the mean of its divisors is an integer number (15036840).

Almost surely, 2^2732146560 is an apocalyptic number.

2732146560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2732146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774146560).

2732146560 is an abundant number, since it is smaller than the sum of its proper divisors (8816146560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2732146560 is a wasteful number, since it uses less digits than its factorization.

2732146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2732146560 is about 52269.9393533224. The cubic root of 2732146560 is about 1397.9811991307.

The spelling of 2732146560 in words is "two billion, seven hundred thirty-two million, one hundred forty-six thousand, five hundred sixty".